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3489590912 = 27238314281
BaseRepresentation
bin1100111111111110…
…1110111010000000
3100000012021120210212
43033333232322000
524121313402122
61334134013252
7152322014303
oct31777567200
910005246725
103489590912
111530868335
128147a7228
13437c637c2
1425164cb3a
15156552ce2
hexcffeee80

3489590912 has 64 divisors (see below), whose sum is σ = 7342090560. Its totient is φ = 1648711680.

The previous prime is 3489590903. The next prime is 3489590917. The reversal of 3489590912 is 2190959843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34895909122 = 24354489466225983488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3489590917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237212 + ... + 251492.

It is an arithmetic number, because the mean of its divisors is an integer number (114720165).

Almost surely, 23489590912 is an apocalyptic number.

3489590912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3489590912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671045280).

3489590912 is an abundant number, since it is smaller than the sum of its proper divisors (3852499648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3489590912 is a wasteful number, since it uses less digits than its factorization.

3489590912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14401 (or 14389 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 3489590912 is about 59072.7594750745. The cubic root of 3489590912 is about 1516.7878426925.

The spelling of 3489590912 in words is "three billion, four hundred eighty-nine million, five hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 128 166 184 332 368 664 736 1328 1472 1909 2656 2944 3818 5312 7636 10624 14281 15272 28562 30544 57124 61088 114248 122176 228496 244352 328463 456992 656926 913984 1185323 1313852 1827968 2370646 2627704 4741292 5255408 9482584 10510816 18965168 21021632 27262429 37930336 42043264 54524858 75860672 109049716 151721344 218099432 436198864 872397728 1744795456 3489590912